Search a number
-
+
10104243344 = 24132314091499
BaseRepresentation
bin10010110100100001…
…01000010010010000
3222002011220202002222
421122100220102100
5131143141241334
64350345000212
7505251436256
oct113220502220
928064822088
1010104243344
114315644638
121b5ba83068
13c50488520
146bbd3a5d6
153e20eed2e
hex25a428490

10104243344 has 80 divisors (see below), whose sum is σ = 22029840000. Its totient is φ = 4454596608.

The previous prime is 10104243343. The next prime is 10104243397. The reversal of 10104243344 is 44334240101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (10104243341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6739907 + ... + 6741405.

It is an arithmetic number, because the mean of its divisors is an integer number (275373000).

Almost surely, 210104243344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10104243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11014920000).

10104243344 is an abundant number, since it is smaller than the sum of its proper divisors (11925596656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10104243344 is a wasteful number, since it uses less digits than its factorization.

10104243344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10104243344 its reverse (44334240101), we get a palindrome (54438483445).

The spelling of 10104243344 in words is "ten billion, one hundred four million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 1409 1499 2392 2818 2998 4784 5636 5996 11272 11992 18317 19487 22544 23984 32407 34477 36634 38974 64814 68954 73268 77948 129628 137908 146536 155896 259256 275816 293072 311792 421291 448201 518512 551632 842582 896402 1685164 1792804 2112091 3370328 3585608 4224182 6740656 7171216 8448364 16896728 27457183 33793456 48578093 54914366 97156186 109828732 194312372 219657464 388624744 439314928 631515209 777249488 1263030418 2526060836 5052121672 10104243344